Home/Integrated Math 1/Lesson 54

Rate of change: graphs

Find slope from a graph using rise over run.

Do this: Read the concept below, then try the quiz or activity.

Lesson 54 of 192
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Concept

Objective: Students will compute and interpret slope from graphical representations.

Estimated Time: 12 minutes

Standards:
HSF-IF.B.6HSF-IF.C.7

Choose two points on the line, measure vertical change (rise) and horizontal change (run), then compute rise/run.

Try it

On a graph, points (0, -2) and (3, 4) lie on a line. Find slope.

๐Ÿ“ˆ Coordinate Grapher

Move points on the graph and observe how rise/run changes slope.

y = y = 1x
-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910

Concept Check

Slope between (2,1) and (5,7) is:

Concept Check

A horizontal line has slope:

Common Misconception
Always verify your result in context instead of trusting a first pass.

Slope from graph steps

These steps are out of order โ€” can you fix them?

1.Select two clear points
2.Compute rise
3.Compute run
4.Simplify rise/run

Short Answer

What causes a common slope-sign mistake?

Mastery Check

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Question 1

Slope between (2,1) and (5,7) is:

Question 2

A horizontal line has slope:

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